Ace school

with brainly

  • Get help from millions of students
  • Learn from experts with step-by-step explanations
  • Level-up by helping others

A community for students.

I don't really get this. Question: Use the rules for exponents and roots to prove that 512^2/3 = 16^3/2

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Join Brainly to access

this expert answer

SIGN UP FOR FREE
Do you mean a rigorous formal proof?
I don't really know. This is what the question was and I don't get it.
Do you understand how to use logarithms?

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

No
Ah, you will want to understand natural logarithms for this question, I can explain it.
\[y = \log_b x\] \[x = b^y\]
If we take the natural logarithm of \[512^{\frac{2}{3}}\] \[\frac{2}{3}\ln(512)\]
We can pull the exponent out
So, is that a cube root? That we ended up with?
|dw:1360950294527:dw|
|dw:1360950347726:dw|
|dw:1360950360574:dw|
|dw:1360950390774:dw|
|dw:1360950432326:dw|
yes they are both equivalent
Thanks, so much. That makes sense now.
yw
no need to use logs here
just using exponents :512=2^9 so 512^(2/3)=2^6 and 16^(3/2)=2^6 so both are equal
Thanks
yw

Not the answer you are looking for?

Search for more explanations.

Ask your own question